Simplify the expression: |–16| A. -16 B. -15 C. 15 D. 16

Answer:

2/5

Step-by-step explanation:

1/5 / 1/2= 1/5 x 2/1

2/5

Answer:

2/5

Step-by-step explanation:

The original answer was 4/10, but as a reduced fraction, it is 2/5.

Version of how I got it:

5 and 2 have 10 in common, so that is the denominator

1 and 1 have 1 in common. Keep change and flip, to turn this into a 4. this rule applies because 1 + 1 = 2, and 2 x 2 = 4.

finally...

4/10 -- 2/5

hope this helps!

Answer:

0.904

Step-by-step explanation:

9.04 × 10[tex] {}^{ - 1} [/tex]

=0.904

Answer:

g = 18

Step-by-step explanation:

Find where the two curves intersect:

[tex]4x = x - x^2 + x^3[/tex]

[tex]\implies x^3 - x^2 - 3x = 0[/tex]

[tex]\implies x (x^2 - x - 3) = 0[/tex]

[tex]\implies x = 0 \text{ or } x^2 - x - 3 = 0[/tex]

Completing the square gives

[tex]x^2 - x - 3 = \left(x - \dfrac12\right)^2 - \dfrac{13}4 = 0[/tex]

and solving for x,

[tex]\implies x = \dfrac12 \pm \sqrt{\dfrac{13}4} = \dfrac{1 \pm \sqrt{13}}2[/tex]

The total unsigned area between the two curves is then

[tex]\displaystyle \int_{(1-\sqrt{13})/2}^{(1+\sqrt{13})/2} \left|4x - \left(x - x^2 + x^3\right)\right| \, dx[/tex]

[tex]= \displaystyle -\int_{(1-\sqrt{13})/2}^0 \left(4x - \left(x - x^2 + x^3\right)\right) \, dx + \int_0^{(1+\sqrt{13})/2} \left(4x - \left(x - x^2 + x^3\right)\right) \, dx[/tex]

[tex]= \displaystyle -\int_{(1-\sqrt{13})/2}^0 \left(3x + x^2 - x^3\right) \, dx + \int_0^{(1+\sqrt{13})/2} \left(3x + x^2 - x^3\right) \, dx[/tex]

where we use the definition of the absolute value function to split up the integral at the point where one curve "overtakes" the other - in other words, y = 4x lies above the curve y = x - x² + x³ when x > 0, and vice versa otherwise.

We have the antiderivative

[tex]\displaystyle \int (3x + x^2 - x^3) \, dx = \dfrac{3x^2}2 - \dfrac{x^3}x - \dfrac{x^4}4 + C[/tex]

so that by the fundamental theorem of calculus, the area we want is

[tex]\displaystyle \int_{(1-\sqrt{13})/2}^{(1+\sqrt{13})/2} \left|4x - \left(x - x^2 + x^3\right)\right| \, dx = \boxed{\dfrac{73}{12}}[/tex]

The areas bounded by the curve y₁ = 4x and y₂ = x − x² + x³ between the limit (−1.303, 2.303) is 6.083 square units.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The regions bounded by the graphs y₁ = 4x and y₂ = x − x² + x³ are shaded in the figure above.

The intersection point will be

4x = x − x² + x³

x³ − x² − 3x = 0

x = −1.303, 0, 2.303

Then the area bounded by the curve will be

[tex]\rm Area = \int _{-1.303}^{2.303} ( y_1 - y_2 ) dx\\\\\\Area = \int _{-1.303}^{2.303} 4x - (x-x^2+x^3) dx\\\\\\Area = \int _{-1.303}^{2.303} 4x - x+x^2-x^3) dx\\\\\\Area = \int _{-1.303}^{2.303} (3x + x^2-x^3) dx\\\\\\Area = \begin{bmatrix} \dfrac{3}{2}x^2 + \dfrac{1}{3}x^3 - \dfrac{1}{4} x^4 \end{bmatrix} _{-1.303}^{2.303}\\\\\\Area = \dfrac{73}{12}\\\\\\Area = 6.0833[/tex]

More about the area bounded by the curve link is given below.

https://brainly.com/question/24563834

Answer:

B) 378 students could be expected to attend the game.

Step-by-step explanation:

Out of 40 students, 45% agreed,

45% of 40

= 45/100 * 40

= 18 students,

18 students out of 40 agreed.

So, Out of 840 students 18/40 * 840 students would be expected to agree. We get :- 378

Answer:

each popcorn 6.58

Step-by-step explanation:

divide 19.75 by 3 and get your answer

Answer:

48 inches

Step-by-step explanation:

There are 12 inches in 1 foot. So multiply by 12 to convert from feet to inches.

4 × 12 = 48

4 feet = 48 inches

Answer:

2

Step-by-step explanation:

(10 - 0)/(6 - 1) = 2

Step-by-step explanation:

Your basic future value formula is:

FV = PV (1+i) ^ n

Where:

FV = Future Value

PV = Present value = $1000

i = interest rate per period = 8/2 = 4% = 0.04

n = number of periods = 6 semi annual periods

Answer:The solution is in the attached filefile.Ifilefile.If you still don't understand,I'm ready to explain more

Step-by-step explanation:

Answer:

i got 6 sorry if wrong

Step-by-step explanation:

Answer:

x = 10 cm

Step-by-step explanation:

The volume of a pyramid is [tex]V = \frac{Bh}{3}[/tex], where V = volume, B = area of base, and h = height.

Step 1: Multiply both sides by 3.

Step 2: Divide both sides by 84.

Step 3: Check if solution is correct.

Therefore, x = 10 cm.

Answer:

All of them have intersections with each other, so we can't really say anything from that. But only -3x + 10 has a y-intercept higher than y=0.

So let's just say -3x+10 is different.

i don't have ideas about it

there are different ways of solving this:

one way is the follwing:

cos^2(x) -sin^2(x) =cos (2x)

then, equation becomes:

cos (2x) -sin (x)=0

but sin(x) is also equivalent to : cos ((pi/2)-x),

so, the equation now is:

cos (2x) - cos ((pi/2)-x)=0 -------> cos (2x) = cos ((pi/2)-x) ---------> 2x=(pi/2) -x

but since it is an angle, the answer would be repeating so:

2x= 2k(pi) +((pi/2)-x)

3x= pi( 2k+1/2)

x= (pi/3) (2k+1/2)

for k=0, x= pi/6

for k=1, x= 5pi/6

for k=2, x= 3pi/2

Ronald originally had $163

He spent a total of $123.45 on school clothes. The money he had left after the expenditure is $39.55 . The total money he had originally can be calculated as follows:

Therefore,

let

x = the original amount he had

Variable are numbers that are represented by letter in a mathematical equation,.

x - 123.45 = 39.55

x = 39.55 + 123.45

x = $163

The amount he originally had is $163

learn more on cost here: https://brainly.com/question/1055986

We are given that:

Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:

Since, cylinder has circular ends , it's volume is given by the formula:

[tex] \quad\hookrightarrow\quad {\pmb{\sf { \pi r^2 h }} }[/tex]

Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:

[tex] \quad :\implies\quad \sf {V = \pi r^2 h }[/tex]

[tex] \quad :\implies \quad \sf { V =\pi\left( \cancel{\dfrac{34}{2}}\right)^2\times 16}[/tex]

[tex] \quad :\implies\quad \sf {V = 3.14 \times (17)^2 \times 16 }[/tex]

[tex] \quad :\implies\quad \sf { V = 3.14\times 289 \times 16}[/tex]

[tex] \quad :\implies \quad{\pmb{ \sf {V = 14,519.36}} }[/tex]

‎ㅤ‎ㅤ‎ ‎ㅤ‎ㅤ‎~Hence, the volume of given cylinder is 14,519.36 cube inches.

Answer:

See below.

Step-by-step explanation:

9(n+8)-6

n=5

9(5+8)-6

9(13)-6

117-6

111

A sum is the answer to an addition expression or equation.

When one refers to "less than", they mean the number is "less than" the entirety of the expression or equation.

-hope it helps

Answer:

The least common multiple of 20 and 25 is 100.

Answer:

100

Step-by-step explanation:

In order to find the least common multiple of 20 and 25, first find the prime factors of 20 and 25.

20 = 2*2*5

25 = 5*5

Here,

Common factor = 5

Uncommon factors = 2, 2, 5

Least common multiple of 20 and 25 = Common factors* Uncommon factors

= 5*(2*2*5)

= 5*20

= 100

Answer: 30miles traveled 80 miles

Step-by-step explanation:

Answer:

(15, -42)

Step-by-step explanation:

Reflect Over X-Axis Formula

The following formula is used to reflect a coordinate point about the x-axis.

(X2,Y2) = (X1,Y1) * (1,-1)

Where X2 and Y2 are the new reflected coordinates

X1 and Y1 are the original coordinate points

Reflect Over X-Axis Definition

Reflection over the x-axis is the process of producing a coordinate point that is mirrored across the x-axis of the coordinate plane. That is it has the same X coordinate and opposite y4 coordinate.

Reflect over X-Axis Example

How to reflect over the x-axis?

First, determine the original coordinate points.

For this example, we will say the coordinate points are (4,5).

Next, calculate the new coordinate points.

Using the formula above we calculate the new reflected points as (4,5)*(1,-1) = (4,-5).

Answer:

i jus took the test

Step-by-step explanation:

Answer:

c; 180 cm

Step-by-step explanation:

Answer:

1.74 million (1,740,000)

Step-by-step explanation:

First we have to find 16% of 1.5 million

0.16 x 1,500,000 = 240,000

Now we add this to the original 1.5m

1,500,000 + 240,000 = 1,740,000

There is roughly 1.74 million in the population of Nairobi

Answer:

4y + 12 is equivalent to D

Step-by-step explanation:

4(y+3)

4(y) = 4y

4(3) = 12

so it's D

Hope this worked !

Answer:

Step-by-step explanation:

Whats the length and the width so I know what to multiply?
Because Area = L x W

Oh wait I think I just multiply them

19 x 20 = 380 x 25 = 9500

I think this is correct

If not im very sorry

Answer:

a) -8, -6, -1, 5,8

Step-by-step explanation:

*View the image attached*

Hope this helps!

[tex]\\ \rm\Rrightarrow y=18.2.5^3[/tex]

[tex]\\ \rm\Rrightarrow y=18.(\dfrac{25^3}{100^3})[/tex]

[tex]\\ \rm\Rrightarrow y=15.625(18)[/tex]

[tex]\\ \rm\Rrightarrow y=281.25[/tex]

Answer:

y = 281.25

solving steps

y = 18 * 2.5³

y = 18 * 2.5 * 2.5 * 2.5

y = 18 * 15.625

y = 281.25